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Exercise 3. Find the truth value of the following expressions with respect to the specified interpretations: a) ExVy (p(x) → q(x, y)) where the domain is {a, b} (1)(q(x, y)) = "x equals y", and I(p(a))=True and I(p(b))=True. b) Vx(p(f(x, x), x) → p(x, y)) where the domain is N, (1)(p(x, y)) = "x equals y", (1)(f(x, y)) = (x + y) mod 3 and (I)(y) =(B)(y) =0

Exercise 3. Find the truth value of the following expressions with respect to the specified interpretations: a) ExVy (p(x) → q(x, y)) where the domain is {a, b} (1)(q(x, y)) = "x equals y", and I(p(a))=True and I(p(b))=True. b) Vx(p(f(x, x), x) → p(x, y)) where the domain is N, (1)(p(x, y)) = "x equals y", (1)(f(x, y)) = (x + y) mod 3 and (I)(y) =(B)(y) =0

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
Computer science
Exercise 3. Find the truth value of the following expressions with respect to the specified interpretations: a) 3xVy (p(x) → q(x, y) where the domain is {a, b} (1)(q(x, y)) = "x equals y", and I(p(a))=True and I(p(b))=True. b) Vx(p(f(x, x), x) → p(x, y)) where the domain is N, ()(p(x, y)) = "x equals y", (I)(f(x, y)) = (x + y) mod 3 and (1)(y) =(B)(y) =0 Exercise 4. Find all possible interpretations of Ex p(x) → Vx p(x) over the domain {a, b}. Also give the truth value of the expression over each of the interpretations.
Transcribed Image Text:Exercise 3. Find the truth value of the following expressions with respect to the specified interpretations: a) 3xVy (p(x) → q(x, y) where the domain is {a, b} (1)(q(x, y)) = "x equals y", and I(p(a))=True and I(p(b))=True. b) Vx(p(f(x, x), x) → p(x, y)) where the domain is N, ()(p(x, y)) = "x equals y", (I)(f(x, y)) = (x + y) mod 3 and (1)(y) =(B)(y) =0 Exercise 4. Find all possible interpretations of Ex p(x) → Vx p(x) over the domain {a, b}. Also give the truth value of the expression over each of the interpretations.
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